Answer:
Step-by-step explanation:
Oxidation-reduction reaction or redox reaction is defined as the reaction in which oxidation and reduction reactions occur simultaneously.
Oxidation reaction is defined as the reaction in which a substance looses its electrons. The oxidation state of the substance increases.
Reduction reaction is defined as the reaction in which a substance gains electrons. The oxidation state of the substance gets reduced.

On reactant side:
Oxidation state of barium = 0
Oxidation state of hydrogen = +1
On product side:
Oxidation state of barium = +2
Oxidation state of hydrogen = 0
Double displacement reactions are not oxidation reduction reactions as the oxidation state do not change.
Thus
is a oxidation reduction reaction.